Question

determine the intervals on which the function is continuous
f(x)= {5-x, x 2

Answer 1

what are the 3 requirements for a function to be continuous?

Answer 2

1. f(c) exists
2. lim f(x) exists
x->c
3. lim f(x)=f(c)
x->c

Answer 3

right, and the only points of possible discontinuity are where the restrictions for x start and end.

so in this case, only at x = 2.
check if those 3 requirements are true.